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Finding the Fourth Proportional to 189.77, 284.64 and 68.00

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Solution

The fourth proportional to 189.77, 284.64 and 68.00 is: 101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.77 : 284.64 = 68.00 : x
  2. Step 2: Convert to fraction form
    189.77/284.64 = 68.00/x
  3. Step 3: Cross multiply
    189.77x = 284.64 × 68.00
  4. Step 4: Simplify right side
    189.77x = 19,354.10
  5. Step 5: Solve for x
    x = 19,354.10/189.77
  6. Step 6: Final answer
    x = 101.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.